Finite-time annular domain stability of Itô stochastic impulsive systems with markovian jumping under asynchronous switching

References

• Amato, F., Ariola, M., & Cosentino, C. (2006). Finite time stabilization via dynamic output feedback. Automatica, 42(2), 337–342. doi: 10.1016/j.automatica.2005.09.007
   Web of Science ®Google Scholar
• Amato, F., Carannante, G., Tommasi, G. D., & Pironti, A. (2012). Input-output finite-time stability of linear systems: Necessary and sufficient conditions. IEEE Transactions on Automatic Control, 57(12), 3051–3063. doi: 10.1109/TAC.2012.2199151
   Web of Science ®Google Scholar
• Amato, F., Carannante, G., Tommasi, G. D., & Pironti, A. (2015). Finite-time control of switching linear systems: The uncertain resetting times case. International Journal of Robust and Nonlinear Control, 25(15), 2547–2560. doi: 10.1002/rnc.3205
   Web of Science ®Google Scholar
• Boukas, E. K., & Al-muthairi, N. F. (2006). Delay-dependent stabilization of singular linear systems with delays. International Journal of Innovative Computing, Information and Control, 2(2), 283–291.
   Web of Science ®Google Scholar
• Chen, W. H., Xu, J. X., & Guan, Z. H. (2003). Guaranteed cost control for uncertain Markovian jump systems with mode-dependent time-delays. IEEE Transactions on Automatic Control, 48(12), 2270–2277. doi: 10.1109/TAC.2003.820165
   Web of Science ®Google Scholar
• Cheng, J., Park, J. H., Zhang, L. X., & Zhu, Y. Z. (2018). An asynchronous operation approach to event-triggered control for fuzzy Markovian jump systems with general switching policies. IEEE Transactions on Fuzzy Systems, 26(1), 6–18. doi: 10.1109/TFUZZ.2016.2633325
   Web of Science ®Google Scholar
• Duan, N., & Xie, X. J. (2011). Further results on output-feedback stabilization for a class of stochastic nonlinear systems. IEEE Transactions on Automatic Control, 56(5), 1208–1213. doi: 10.1109/TAC.2011.2107112
   Web of Science ®Google Scholar
• Gao, L. J., Jiang, X. X., & Wang, D. D. (2016). Observer-based robust finite time H∞ sliding mode control for Markovian switching systems with mode-dependent time-varying delay and incomplete transition rate. ISA Transactions, 61, 29–48. doi: 10.1016/j.isatra.2015.12.013
   PubMed Web of Science ®Google Scholar
• Gao, L. J., Luo, F. M., & Yan, Z. G. (2018). Finite-time annular domain stability of impulsive switched systems: Mode-dependent parameter approach. International Journal of Control. https://doi.org/10.1080/00207179.2017.1396360
   Web of Science ®Google Scholar
• Gao, L. J., & Wang, D. D. (2016). Input-to-state stability and integral input-to-state stability for impulsive switched systems with time-delay under asynchronous switching. Nonlinear Analysis: Hybrid Systems, 20, 55–71.
   Web of Science ®Google Scholar
• Gao, L. J., Wang, D. D., & Zong, G. D. (2018). Exponential stability for generalized stochastic impulsive functional differential equations with delayed impulses and Markovian switching. Nonlinear Analysis: Hybrid Systems, 30, 199–212.
   Web of Science ®Google Scholar
• Ghosh, M. K., Arapostathis, A., & Marcus, S. I. (1993). Optimal control of switching diffusions with application to flexible manufacturing systems. SIAM Journal on Control and Optimization, 31(5), 1183–1204. doi: 10.1137/0331056
   Web of Science ®Google Scholar
• Kang, Y., Li, Z. J., Dong, Y. F., & Xi, H. S. (2012). Markovian-based faulttolerant control for wheeled mobile manipulators. IEEE Transactions on Control Systems Technology, 20(1), 266–276.
   Web of Science ®Google Scholar
• Kang, Y., Zhai, D. H., Liu, G. P., & Zhao, Y. B. (2016). On input-to-state stability of switched stochastic nonlinear systems under extemded asynchronous switching. IEEE Transactions on Automatic Control, 46(5), 1092–1105.
   Google Scholar
• Kang, Y., Zhai, D. H., Liu, G. P., Zhao, Y. B., & Zhao, P. (2014). Stability analysis of a class of hybrid stochastic retarded systems under asynchronous switching. IEEE Transactions on Automatic Control, 59(6), 1511–1523. doi: 10.1109/TAC.2014.2305931
   Web of Science ®Google Scholar
• Li, Y. K., Sun, H. B., Zong, G. D., & Hou, L. L. (2017). Composite anti-disturbance resilient control for Markovian jump nonlinear systems with partly unknown transition probabilities and multiple disturbances. International Journal of Robust and Nonlinear Control, 27(14), 2323–2337. doi: 10.1002/rnc.3682
   Web of Science ®Google Scholar
• Luan, X. L., Liu, F., & Shi, P. (2010). Finite-time filtering for nonlinear stochastic systems with partially known transition jump rates. IET Control Theory & Applications, 4(5), 735–745. doi: 10.1049/iet-cta.2009.0014
   Web of Science ®Google Scholar
• Mahmoud, M. S., & Shi, P. (2012). Asynchronous H∞ filtering of discrete-time switched systems. Signal Processing, 92(10), 2356–2364. doi: 10.1016/j.sigpro.2012.02.007
   Web of Science ®Google Scholar
• Masubuchi, I., & Tsutsui, M. (2011). Advanced performance analysis and robust controller synthesis for time-controlled switched systems with uncertain switchings. Proc. 40th IEEE conf. decision control, Orlando, FL (pp. 2466–2471).
   Google Scholar
• Sworder, D. D., & Rogers, R. O. (1983). An LQ-solution to a control problem associated with a solar thermal central receiver. IEEE Transactions on Automatic Control, 28(10), 971–978. doi: 10.1109/TAC.1983.1103151
   Web of Science ®Google Scholar
• Wang, Y. E., Niu, B., Wu, B.W., Wu, C. Y., & Xie, X. J. (2018). Asynchronous switching for switched nonlinear input delay systems with unstable subsystems. Journal of the Franklin Institute, 355, 2912–2931. doi: 10.1016/j.jfranklin.2018.01.033
   Web of Science ®Google Scholar
• Wang, Y. E., Wu, B.W., & Wu, C. Y. (2017). Stability and L2-gain analysis of switched input delay systems with unstable modes under asynchronous switching. Journal of the Franklin Institute, 354, 4481–4497. doi: 10.1016/j.jfranklin.2017.04.006
   Web of Science ®Google Scholar
• Wang, H., & Zhu, Q. X. (2015). Finite-time stabilization of high-order stochastic nonlinear systems in strict-feedback form. Automatica, 54, 284–291. doi: 10.1016/j.automatica.2015.02.016
   Web of Science ®Google Scholar
• Wang, H., & Zhu, Q. X. (2017). Global stabilization of stochastic nonlinear systems via C1 and C∞ controllers. IEEE Transactions on Automatic Control, 62(11), 5880–5887. doi: 10.1109/TAC.2016.2644379
   Web of Science ®Google Scholar
• Wu, Z. J., Cui, M. Y., Shi, P., & Karimi, H. R. (2013). Stability of stochastic nonlinear systems with state-dependent switching. IEEE Transactions on Automatic Control, 58(8), 1904–1918. doi: 10.1109/TAC.2013.2246094
   Web of Science ®Google Scholar
• Wu, L., Shi, P., & Gao, H. (2010). State estimation and sliding-mode control of Markovian jump singular systems. IEEE Transactions on Automatic Control, 55(5), 1213–1219. doi: 10.1109/TAC.2010.2042234
   Web of Science ®Google Scholar
• Xiang, Z. R., Wang, R. H., & Chen, Q. W. (2011a). Robust stabilization of uncertain stochastic switched non-linear systems under asynchronous switching. Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering, 225(1), 8–20.
   Web of Science ®Google Scholar
• Xiang, Z. R., Wang, R. H., & Chen, Q. W. (2011b). Robust reliable stabilization of stochastic switched nonlinear systems under asynchronous switching. Applied Mathematics and Computation, 217(19), 7725–7736. doi: 10.1016/j.amc.2011.02.076
   Web of Science ®Google Scholar
• Xie, X. J., Duan, N., & Yu, X. (2011). State-feedback control of high-order stochastic nonlinear systems with SiISS inverse dynamics. IEEE Transactions on Automatic Control, 56(8), 1921–1926. doi: 10.1109/TAC.2011.2135150
   Web of Science ®Google Scholar
• Xie, G., & Wang, L. (2005). Stabilization of switched linear systems with timedelay in detection of switching signal. Journal of Mathematical Analysis and Applications, 305(1), 277–290. doi: 10.1016/j.jmaa.2004.11.043
   Web of Science ®Google Scholar
• Xie, W. X., Wen, C. Y., & Li, Z. G. (2001). Input-to-state stabilization of switched nonlinear systems. IEEE Transactions on Automatic Control, 46(7), 1111–1116. doi: 10.1109/9.935066
   Web of Science ®Google Scholar
• Yan, Z. G., Zhang, W. H., & Zhang, G. S. (2015). Finite-time stability and stabilization of Itô stochastic systems with Markovian switching: Mode-dependent parameter approach. IEEE Transactions on Automatic Control, 60(9), 2428–2433. doi: 10.1109/TAC.2014.2382992
   Web of Science ®Google Scholar
• Yang, Y., & Chen, G. P. (2015). Finite-time stability of fractional order impulsive switched systems. International Journal of Robust and Nonlinear Control, 25(13), 2207–2222. doi: 10.1002/rnc.3202
   Web of Science ®Google Scholar
• Yao, X. M., & Guo, L. (2012). Composite anti-disturbance control for Markovian jump nonlinear systems via disturbance observer. Automatica, 49(8), 2538–2545. doi: 10.1016/j.automatica.2013.05.002
   Web of Science ®Google Scholar
• Yao, L. H., & Li, J. M. (2017). Input-output finite-time stabilization of a class of nonlinear hybrid systems based on FSM with MDADT. Journal of the Franklin Institute, 354(9), 3797–3812. doi: 10.1016/j.jfranklin.2016.07.013
   Web of Science ®Google Scholar
• Yin, J., Khoo, S., Man, Z., & Yu, X. (2011). Finite-time stability and instability of stochastic nonlinear systems. Automatica, 47(12), 2671–2677. doi: 10.1016/j.automatica.2011.08.050
   Web of Science ®Google Scholar
• Yu, X., & Wu, Z. J. (2014). Corrections to “stochastic barbalat's lemma and its applications”. IEEE Transactions on Automatic Control, 59(5), 1386–1390. doi: 10.1109/TAC.2013.2283752
   Web of Science ®Google Scholar
• Zhang, L., & Boukas, E. (2009). Stability and stabilization of Markovian jump linear systems with partly unknown transition probabilities. Automatica, 45(2), 463–468. doi: 10.1016/j.automatica.2008.08.010
   Web of Science ®Google Scholar
• Zhang, L. X., & Gao, H. J. (2010). Asynchronously switched control of swicthed linear systems with average dwell time. Automatica, 46, 953–958. doi: 10.1016/j.automatica.2010.02.021
   Web of Science ®Google Scholar
• Zhang, W. H., Lin, X. Y., & Chen, B. S. (2017). LaSalle-type theorem and its applications to infinite horizon optimal control of discrete-time nonlinear stochastic systems. IEEE Transactions on Automatic Control, 62(1), 250–261. doi: 10.1109/TAC.2016.2558044
   Web of Science ®Google Scholar
• Zhang, L. X., & Shi, P. (2009). Stability, l2-gain and asynchronous H∞ control of discrete-time switched systems with average dwell time. IEEE Transactions on Automatic Control, 54(9), 2193–2200.
   Web of Science ®Google Scholar
• Zhang, Z. C., Wu, Y. Q., & Huang, J. M. (2017). Differential-flatness-based finite-time anti-swing control of underactuated crane systems. Nonlinear Dynamics, 87, 1749–1761. doi: 10.1007/s11071-016-3149-7
   Web of Science ®Google Scholar
• Zhao, S., Sun, J., & liu, L. (2008). Finite-time stability of linear time-varying singular systems with impulsive effect. International Journal of Control, 81(11), 1824–1829. doi: 10.1080/00207170801898893
   Web of Science ®Google Scholar
• Zhao, X. D., Zhang, L. X., Shi, P., & Liu, M. (2012a). Stability and stabilization of switched linear systems with mode-dependent average dwell time. IEEE Transactions on Automatic Control, 57(7), 1809–1815. doi: 10.1109/TAC.2011.2178629
   Web of Science ®Google Scholar
• Zhao, X. D., Zhang, L. X., Shi, P., & Liu, M. (2012b). Stability of switched positive linear systems with average dwell time switching. Automatica, 48(6), 1132–1137. doi: 10.1016/j.automatica.2012.03.008
   Web of Science ®Google Scholar
• Zhu, Q. X., & Cao, J. D. (2011). Exponential stability of stochastic neural networks with both markovian jump parameters and mixed time delays. IEEE Transactions on Automatic Control, 41(2), 341–353.
   Google Scholar
• Zuo, Z., Liu, Y., Wang, Y., & Li, H. (2012). Finite-time stochastic stability and stabilization of linear discrete-time Markovian jump systems with partly unknown transition probabilities. IET Control Theory & Applications, 6(10), 1522–1526. doi: 10.1049/iet-cta.2011.0335
   Web of Science ®Google Scholar